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Poincaré-Steklov operators and methods for separation of a domain in variational problems. (Russian) Zbl 0596.35030

The paper considers Poincaré-Steklov operators S (for example, if u is the solution of the Neumann problem with boundary condition \(\partial u/\partial \nu =g\), then Sg is the trace of u on the boundary) with purpose to substantiate methods of separation of a domain for second order elliptic systems. Some properties of the operators S are established and an iterative algorithm for equations of the theory of elasticity is discussed.
Reviewer: U.Raitums

MSC:

35J20 Variational methods for second-order elliptic equations
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